Find the 52nd term of the arithmetic sequence ?
2 answers:
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Answer:
Step-by-step explanation:
Given:
Need:
First, let's look at the identities:
sum:
difference:
The question asks to find sin(A - B); therefore, we need to use the difference identity.
Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.
sin(A) =
cos(A) =
sin(B) =
cos(B) =
Plug these values into the difference identity formula.
Multiply.
Add.
This is your answer.
Hope this helps!
Answer:
Which statements about the relationship between the two triangles below are true
- Angle C is congruent to angle S (true)
- Angle D is congruent to angle T (true)
- Triangle D C A is similar to triangle T S R (true)
The rest are false.
Complete question;
Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D is 60 degrees and angle A is 74.9 degrees. Triangle R S T. Angle R is 74.9 degrees and angle S is 45.1 degrees.
- Angle C is congruent to angle T
- Angle C is congruent to angle S
- Angle D is congruent to angle T
- Triangle D C A is congruent to triangle T S R
- Triangle D C A is similar to triangle T S R
- Triangle C A D is similar to triangle T R S
- Triangle C A D is congruent to triangle T R S
Step-by-step explanation:
See attached image for more information;
Angle C = 180 - (60+74.9) = 45.1°
Angle T = 180 - (74.9+45.1) = 60°
Therefore;
Angle C = Angle S = 45.1°
Angle D = Angle T = 60°
And
Triangle D C A is similar to triangle T S R
(Note the order of the letters)
The two triangles are not congruent because the length of their sides are not the same.
